1998•arXiv (Cornell University)Open access

Interactions of the Diffeomorphism (Graviton) Field

Thomas Branson, V.G.J. Rodgers, Takeshi Yasuda

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Abstract

We continue to explore the possibility that the graviton in two dimensions is related to a quadratic differential that appears in the anomalous contribution of the gravitational effective action for chiral fermions. A higher dimensional analogue of this field might exist as well. We discuss how this diffeomorphism tensor field interacts with other fields and with point particles in any dimension. The two dimensional theory suggests that all interactions are related to coordinate diffeomorphisms. We discuss possible interpretations of this field.

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What this paper is about

We continue to explore the possibility that the graviton in two dimensions is related to a quadratic differential that appears in the anomalous contribution of the gravitational effective action for chiral fermions. A higher dimensional analogue of this field might exist as well. We discuss how this diffeomorphism tensor field interacts with other fields and with point particles in any dimension. The two dimensional theory suggests that all interactions are related to coordinate diffeomorphisms. We discuss possible interpretations of this field.

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Available abstract

We continue to explore the possibility that the graviton in two dimensions is related to a quadratic differential that appears in the anomalous contribution of the gravitational effective action for chiral fermions. A higher dimensional analogue of this field might exist as well. We discuss how this diffeomorphism tensor field interacts with other fields and with point particles in any dimension. The two dimensional theory suggests that all interactions are related to coordinate diffeomorphisms. We discuss possible interpretations of this field.

Key concepts: Diffeomorphism, Graviton, Physics, Action (physics), Tensor field, Field (mathematics), Theoretical physics, Tensor (intrinsic definition)

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